126491949000 has 384 divisors, whose sum is σ = 466730409600. Its totient is φ = 31954694400.

The previous prime is 126491948971. The next prime is 126491949029. The reversal of 126491949000 is 949194621.

126491949000 is a `hidden beast` number, since 12 + 64 + 91 + 9 + 490 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126491948971) and next prime (126491949029).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4603302 + ... + 4630698.

It is an arithmetic number, because the mean of its divisors is an integer number (1215443775).

Almost surely, 2^126491949000 is an apocalyptic number.

126491949000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126491949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233365204800).

126491949000 is an abundant number, since it is smaller than the sum of its proper divisors (340238460600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126491949000 is a wasteful number, since it uses less digits than its factorization.

126491949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27452 (or 27426 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 126491949000 in words is "one hundred twenty-six billion, four hundred ninety-one million, nine hundred forty-nine thousand".